A052834 a(n) = Bell(n+1)-Bell(n)-1, n>0.

0, 0, 2, 9, 36, 150, 673, 3262, 17006, 94827, 562594, 3535026, 23430839, 163254884, 1192059222, 9097183601, 72384727656, 599211936354, 5150665398897, 45891416030314, 423145657921378, 4031845922290571, 39645290116637022, 401806863439720942, 4192631462935194063

Offset

0,3

Links

Table of n, a(n) for n=0..24.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 801

Formula

E.g.f.: exp(exp(x)-1)*exp(x)-exp(x)-exp(exp(x)-1)+1.

a(n) = A005493(n-1)-1. - R. J. Mathar, Jun 03 2022

Maple

spec := [S, {B=Set(Z, 1 <= card), C=Set(B, 1 <= card), S=Prod(B, C)}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);

Mathematica

Join[{0}, (#[[2]]-#[[1]]&/@Partition[BellB[Range[30]], 2, 1])-1] (* Harvey P. Dale, May 31 2015 *)

Crossrefs

Cf. A000110, A005493.

Sequence in context: A037521 A037730 A029874 * A289805 A150967 A344108

Adjacent sequences: A052831 A052832 A052833 * A052835 A052836 A052837

Keyword

easy,nonn

Author

INRIA Encyclopedia of Combinatorial Structures, Jan 25 2000

Extensions

Better description from Vladeta Jovovic, Jul 24 2003

More terms from Alois P. Heinz, Mar 16 2016

Status

approved